On modular forms of negative dimension.
نویسندگان
چکیده
منابع مشابه
Dimension Variation of Classical and p-adic Modular Forms
A quadratic bound is obtained for a conjecture of Gouv^ ea-Mazur on arithmetic variation of dimensions of classical and p-adic modular forms.
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Let k 2 Z and let SL 2 (Z) denote the special linear group SL 2 (Z) = a b c d : a; b; c; d 2 Z and ad bc = 1 : A modular form of weight k is an analytic function f de…ned on the complex upper half plane H = fz 2 C : Im(z) > 0g that transforms under the action of SL 2 (Z) according to the relation [1] f az + b cz + d = (cz + d) k f (z) for all a b c d 2 SL 2 (Z)
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Article history: Received 30 August 2016 Received in revised form 2 February 2017 Accepted 20 February 2017 Available online 24 February 2017 Communicated by D. Goss
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1959
ISSN: 0026-2285
DOI: 10.1307/mmj/1028998142